Are Nodal Methods More Accurate or Just Simplified Solutions?

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Nodal methods are effective for solving diffusion equations, offering both simplification and acceleration compared to traditional finite difference methods. Their accuracy is maintained as long as the node size is significantly larger than the mean free path of neutrons, making them suitable for large power reactors. The discussion highlights the practical applications of nodal methods in reactor physics. The provided links offer additional resources for understanding the theoretical foundations and implementation of these methods. Overall, nodal methods are a reliable alternative for diffusion equation solutions in nuclear engineering contexts.
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I'm not sure does Nodal method just simplify and accelerate the solution of diffusion equation or it is accurate instead of simple finite difference methods.
Is there any idea?
 
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Nodal methods are practically just as accurate as long as the size of the node is large compared to the mean free path of neutrons. Which works fine for large power reactors.
 

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